complete the inequality 13/18 11/14

Answer:

1. 26.4

2. 23

3. 20.3

4. 15

5. 114.75

Step-by-step explanation:

1. 19.20/8= 2.4

   2.4 *11= 26.4

2. 270/15=18

   414/18=23

3. 34.80/12= 2.9

    2.9*7=20.3

4. 9/5=1.8

      27/1.8=15

5. 51.00/4= 12.75

    12.75*9=114.75

The variance in the number of admissions and

the standard deviation of the number of admissions is 284.27.

To find the expected number of admissions, we need to multiply each number of admissions by its corresponding probability, and then sum up the products as the Expected number of admissions = (1000)(0.6) + (1200)(0.3) + (1500)(0.1) = 1140

Therefore, the expected number of admissions for the fall semester is 1140.

To compute the variance of the number of admissions, we first need to find the squared deviations from the expected value for each possible outcome, weighted by their respective probabilities:

Variance = (1000 - 1140)²(0.6) + (1200 - 1140)²(0.3) + (1500 - 1140)²(0.1) = 81000

Therefore, the variance of the number of admissions is 81000.

To find the standard deviation, we take the square root of the variance:

Standard deviation = sqrt(81000) = 284.27

Therefore, the standard deviation of the number of admissions is 284.27.

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Option B is correct : The distance must it cover by a ant to walk from one corner to the diagonally opposite corner of the cube in the shortest distance is 1+sqrt(2) units.

It is correct because the shortest distance between two points on a cube is the length of the straight line connecting them. This line has a length of 1 + √2.

1 + √2 = (1 + 2√1) = (1 + 2) = 3

Consider the cube to consist of three mutually perpendicular rectilinear segments, each one unit in length, and the line segment linking the two corners to be the hypotenuse of a right triangle, each of whose legs is one unit in length. This will help you see how the cube is constructed.

The ant's path begins at one corner, travels along one edge, and ends at the intersection of an additional edge. It then proceeds along this edge to the opposite edge's halfway point. Finally, it travels along this edge to the corner that is directly across. The total length of these three parts makes up the ant's journey.

Since the second and third segments are the hypotenuses of two 45-45-90 triangles with legs that are each one unit long, they have lengths of \(\sqrt{2} units\) while the first segment is one unit long.

The ant's journey is therefore,  in length overall is  

\(1 unit + \sqrt{2} units + \sqrt{2} units \\= 1 + 2 \sqrt{2} units \\= 1 + \sqrt{2} units\) .

The solution is therefore (B) 1 + sqrt(2) units.

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The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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Answer:

it 288 cm.

i had this on my final exam and it was correct.

ur welcome. thank me later

Step-by-step explanation:

The height of a triangle is 4.8cm. The length of a perpendicular line segment starting on a side and intersecting the opposing angle defines a triangle's height. Every triangle has three sides, which results in three heights, or altitudes.

The line segment perpendicular to the base of the triangle from its point of highest point is its height. We may apply the Pythagorean Theorem to the triangle the height forms because it forms a right angle with the base. The base of the original triangle will be divided in half by the height since it is isosceles (has two equal sides). Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height. Since this is the smallest side of the triangle, the base would be equal to half of five (2.5). A triangle is said to be equilateral if its three heights are all equal.

If area and base are given: height = 2A/ b = (2 × Area) / base.

Area=8*6/2=48/2=24cm

Height=2*24/10=4.8cm

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The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets

Answer:

The answer is 117.3 \(in^{3}\).

Step-by-step explanation:

To solve for the volume of the cone, use the cone volume formula, which is   V = \(\frac{1}{3} \pi r^{2} h\).

Next, plug in the information given from the problem, and the formula will look like V = \(\frac{1}{3} (\pi) (4 in^{2}) (7 in)\).

Then, solve the equation, and the answer will be 117.3 \(in^{3}\).

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

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Answer:

y = 4x + 3

Step-by-step explanation:

as the line is parallel to the given equation, the gradient (4x) must stay the same, and as it must pass through the point (-2, -5), we can solve for the y intercept:

to calculate for the y intercept, it is best to express the equation in slope intercept form:

y = mx + b

in this equation, mx stands for the gradient, which ive already highlighted remains 4x, and b stands for the y intercept (which we don't know yet).

y = 4x + b

what we have been given instead is the coordinates for the point this line crosses through (-2,-5) meaning when x = -2, y = -5.

Using this information, we can replace x and y in the equation:

-5 = 4(-2) + b

with consideration to the order of operations, it is important to solve the brackets first

-5 = -8 + b

now to get b by itself add 8 to both sides of the equation:

-5 + 8 = -8 + 8 + b

3 = b

now we remember from the slope intercept equation, b = the y intercept, so we can now solve the equation.

y = 4x + b  

replace b with the number we solved for (3).

y = 4x + 3

this is the equation of the line that is parallel to y = 4x + 1, and passes through the point (-2, -5)

hope this helps :)

Answer: The equation that represents the amount of money Mrs. Espinoza will pay to rent the bounce house for h hours is:

t = 15 + 5h

Step-by-step explanation: From the table, it can be seen that the rental cost is $15 for the first hour and $5 for each additional hour.

The rental cost t can be represented by the equation t = 15 + 5h

The first term, 15, represents the fixed cost of $15 for the first hour.

The second term, 5h, represents the variable cost of $5 for each additional hour.

So if Mrs Espinoza rents the bounce house for h hour, the cost will be 15+5h.

Labeling:

t represents the total amount that Mrs. Espinoza will pay to rent the bounce house

h represents the number of hours that Mrs. Espinoza rents the bounce house.

15 is the fixed cost of renting the bounce house for the first hour.

5 is the variable cost for each additional hour.

The equation t = 15 + 5h represents the total cost of renting the bounce house for h hours.

Answer:

x=2

Step-by-step explanation:

first distribute the 1/2

1/2x - 5=-4

then add 5 to both sides

1/2x=1

multiple by 2 on both sides

x=2

Answer: $10.33

Step-by-step explanation:

Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.

Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.

Let r = Julio's hourly rate

if he worked over 30 hours in a week, then hourly rate = 1.2r

According to the question

\((1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33\)

Hence, his hourly rate = $10.33

Answer:

Step-by-step explanation:

error = 16 - 15 = 1 fluid ounce

percent error \(=\frac{1}{16} \times 100=\frac{100}{16}=6.25 \%\)

Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.

Given that,

Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.

Cost for Kersey is reportedly;

$17.95 per pair of pants

$24 for each sweater

If there are x pants.

The overall price for Kersey is then;

17.95x + 24

Cost for Jeana, we are informed, is;

$18.95 for each pair of pants

Sweater price: $18

If there are x pairs of pants.

Therefore, Jeana's overall cost is;

18.95x + 18

In the following circumstances, their overall cost will be equal:

17.95x + 24 = 18.95x + 18

18.95x - 17.95x = 24 - 18

x = 6

Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.

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Answer:

y = 66

Step-by-step explanation:

Exterior angles thm:

y + y - 31 = y + 35

2y - 31 = y + 35

2y - y = 35 + 31

y = 66

a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test?The null and alternative hypotheses for the hypothesis test are as follows: H0: P1 ≥ P2H1: P1 < P2Here, P1 represents the proportion of males who are left-handed, and P2 represents the proportion of females who are left-handed.b. Identify the test statistic. z= -2.25 (Round to two decimal places as needed)c. Identify the P-value.

P.value = 0.012 (Round to three decimal places as needed)What is the conclusion based on the hypothesis test?Since the P-value is less than the significance level of α = 0.05, we can reject the null hypothesis. Therefore, there is sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females.What is the conclusion based on the confidence interval?Since the 90% confidence interval does not include 0, we can conclude that there is evidence in support of the claim that the rate of left-handedness among males is less than that among females.

C. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?It can be concluded that the rate of left-handedness among males is less than the rate of left-handedness among females based on the given data. Therefore, the correct option is (A) It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females.

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The 0 element for the permutation group defined over n objects is an identity permutation, which is a permutation that does not change the positions of any elements in a set.

This identity element is denoted by an empty permutation and is often referred to as the "do-nothing" permutation. In other words, it leaves the elements in the set unchanged. It is the base element of the permutation group, meaning that when it is combined with any other permutation, it does not change the result of the permutation.

This means that when it is combined with any other permutation, the end result is the same as the initial permutation.

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Answer:

D) 10x - 24

Step-by-step explanation:

Bc I know maths a lot

To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.

In the first round, there are 16 pairs playing against each other, resulting in 16 winners and 16 losers. In the second round, the 16 winners are paired up again, resulting in 8 winners and 8 losers.

So, there are a total of 16 x 8 = 128 possible collective outcomes for the first two rounds. Each outcome is determined by the combination of 16 winners and 16 losers in the first round, and then the combination of 8 winners and 8 losers in the second round.
In the first round of a knockout tournament involving 32 players, there are 16 pairs playing a game. Each pair has 2 possible outcomes: either player A wins or player B wins. So, there are 2^16 possible collective outcomes for the first round.

For the second round, there are now 16 winners, forming 8 pairs. Each pair still has 2 possible outcomes: either player A wins or player B wins. So, there are 2^8 possible collective outcomes for the second round.

To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.

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Answer:

75/4 or 18 3/4

Step-by-step explanation:

To add 7 1/2, 3.25, and 4, we can start by converting the mixed number 7 1/2 to an improper fraction:

7 1/2 = 15/2

Then, we can add the fractions by finding a common denominator:

15/2 + 13/4 + 16/4

Since 2, 4, and 4 are all factors of 4, we can use 4 as our common denominator:

30/4 + 13/4 + 16/4 = 59/4

Finally, we can add the whole number 4 to get:

59/4 + 4 = 75/4

So the sum of 7 1/2, 3.25, and 4 is 75/4 or 18 3/4.

Answer:

Step-by-step explanation:

two triangles are equal

angle B=angle K

10y+17= 14 y-3

10y-14y=-3-17

-4y=-20

y=-20/-4

angle B= 10y+17

angle B=10(5)+17

Answer:

Step-by-step explanation:

Multiplies of 6:

6,12

Multiplies of 4:

4,8,12

4\15

Answer:

You can do it! Sorry i can't help because your on a different level. Try your best!

Step-by-step explanation:

We can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Before the change, the measures are:

IQR = 105 - 61 = 44°

Range = 105 - 57 = 48°

Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.4°

Median = the middle value, which is 84°

After the change, the list becomes:

58, 61, 71, 77, 91, 100, 105, 102, 95, 94, 66, 57

IQR = 102 - 61 = 41°

Range = 105 - 57 = 48°

Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 94 + 66 + 57) / 12 = 82.3°

Median = the middle value, which is still 84°

Hence, we can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°

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Answer:

  (d)  Median 84°

Step-by-step explanation:

You want to know the effect on various statistics of changing the value 82 to 94 in the data ...

  {57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105}

Changing a middle value in the list will have no effect on either the range or the IQR.

Changing a value from 82 to 94 adds 12 to the total of the 12 data values. This will increase the mean by 12/12 = 1 degrees to about 81.4.

The median value is currently the average of 77 and 82. Replacing 82 with 94, changes the order so that the median will be the average of 77 and 91. That is the median will increase by 9/2 = 4.5 degrees.

The measure that changes the most is the median. Its new value is 84°, choice D.

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